Greatest Common Factor of 2852/52, 6801/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2852/52, 6801/170

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2852/52,6801/170

Given fractions are 2852/52,6801/170

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2852,6801

Greatest Common Factor of Numerators i.e. GCF of 2852,6801 is 1 .

LCM of Denominators means LCM of 52,170 as per the given fractions.

LCM of 52,170 is 4420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2852,6801

GCF of Fractions 2852/52,6801/170 is 1/4420

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2852,6801 By Matching Biggest Common Factor Method

Greatest Common Factor of 2852,6801 By Matching Biggest Common Factor Method

Factors of 2852

List of positive integer factors of 2852 that divides 2852 without a remainder.

1,2,4,23,31,46,62,92,124,713,1426,2852

Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1,3,2267,6801

Greatest Common Factor

We found the factors 2852,6801 . The biggest common factor number is the GCF number.
So the greatest common factor 2852,6801 is 1.

Lets's calculate LCM of 52,170

2 52, 170
26, 85

∴ So the LCM of the given numbers is 2 x 26 x 85 = 4420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4420

Therefore, the GCF of Fractions 2852/52,6801/170 is 1/4420

Least Common Multiple of 52,170 with GCF Formula

Least Common Multiple of 52,170 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 52,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,170) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(52,170) x common factors =2 x 1 = 2

LCM(52,170) = ( 52 × 170 ) / 2

LCM(52,170) = 8840 / 2

LCM(52,170) = 4420


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2852/52, 6801/170

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2852/52, 6801/170?

Answer: GCF of Numerators as per given numbers 2852/52, 6801/170 is

GCF of Numerators i.e. for 2852,6801 is 1

LCM of denominators i.e. for 52,170 is 4420.

Thus, GCF of Fractions is 1/4420.Finally, GCF of Fractions for 2852/52, 6801/170 is 1/4420.